Universality under Szegő's condition (Q2788807)
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scientific article; zbMATH DE number 6543555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universality under Szegő's condition |
scientific article; zbMATH DE number 6543555 |
Statements
22 February 2016
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universality
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random matrices
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Christoffel functions
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asymptotics
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potential theory
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Universality under Szegő's condition (English)
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\textit{D. S. Lubinsky} [Ann. Math. (2) 170, No. 2, 915--939 (2009; Zbl 1176.42022)] has developped an elementary approach to universality limits. Morover, in [\textit{D. S. Lubinsky}, J. Anal. Math. 106, 373--394 (2008; Zbl 1156.42005)], he has highlighted a second method using the theory of entire functions. Unfortunately, this last method is not easy to apply. So, the aim of te author in this paper is to present a theorem on the universality on orthogonal polynomials and random matrices under relatively simple conditions on the weight function by comparison to the above work of D. S. Lubinsky.
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